Minimal mass tensegrity structures Academic Article

abstract

• A unified framework for minimal mass design of tensegrity systems by convex optimization is presented. For any given configuration and any given set of external forces, we minimize mass subject to the equilibrium conditions and the maximum stress constraints. The answer is provided by a linear program. Stability is assured by solving a linear matrix inequality to guarantee a positive definite stiffness matrix. We first describe the static equation in matrix form, rather than vector form, to obtain the simplest structure of the equation. Copyright 2014 by K. Nagase and R.E. Skelton.

authors

• Skelton, Robert

published proceedings

• Journal of the International Association for Shell and Spatial Structures

author list (cited authors)

• Nagase, K., & Skelton, R. E.

complete list of authors

• Nagase, K||Skelton, RE

publication date

• January 2014

published in

• Journal of the International Association for Shell and Spatial Structures  Journal

start page

• 37

end page

• 48

volume

• 55

issue

• 1